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Finding the Fourth Proportional to 48,796.35, 67,338.09 and 27,575.16

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Solution

The fourth proportional to 48,796.35, 67,338.09 and 27,575.16 is: 38,053.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,796.35 : 67,338.09 = 27,575.16 : x
  2. Step 2: Convert to fraction form
    48,796.35/67,338.09 = 27,575.16/x
  3. Step 3: Cross multiply
    48,796.35x = 67,338.09 × 27,575.16
  4. Step 4: Simplify right side
    48,796.35x = 1,856,858,605.84
  5. Step 5: Solve for x
    x = 1,856,858,605.84/48,796.35
  6. Step 6: Final answer
    x = 38,053.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.